Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $167,000. Assume the standard deviation is $42,000. Suppose you take a simple random sample of 16 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 167000 42000 b. What is the distribution of X ? X - N( c. For a single randomly selected graduate, find the probability that her salary is between $167,950 and $177,200. d. For a simple random sample of 16 graduates, find the probability that the average salary is between $167,950 and $177,200. e. For part d), is the assumption of normal necessary? YesO No

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Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey,
assume the mean annual salary for graduates 10 years after graduation is $167,000. Assume the standard
deviation is $42,000. Suppose you take a simple random sample of 16 graduates. Round all answers to
four decimal places if necessary.
a. What is the distribution of X? X - N( 167000
42000
b. What is the distribution of X ? X - N(
c. For a single randomly selected graduate, find the probability that her salary is between $167,950 and
$177,200.
d. For a simple random sample of 16 graduates, find the probability that the average salary is between
$167,950 and $177,200.
e. For part d), is the assumption of normal necessary?
YesO No
Transcribed Image Text:Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $167,000. Assume the standard deviation is $42,000. Suppose you take a simple random sample of 16 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 167000 42000 b. What is the distribution of X ? X - N( c. For a single randomly selected graduate, find the probability that her salary is between $167,950 and $177,200. d. For a simple random sample of 16 graduates, find the probability that the average salary is between $167,950 and $177,200. e. For part d), is the assumption of normal necessary? YesO No
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